You are correct that nothing abridges that right. (I take the highly deviant and unpopular line that rights are inalienable, that that is why we don't just call them permissions.)
To say that it is an unmitigated good is, though, perhaps not a conclusion you can safely draw. It carries the implication that all contributing causes were also good, which is self-evidently false. The right is good. The requirement that things be properly documented is good. The staffing levels are bad (police officers should be providing the raw information, not reconstructing it to fit a specific system - have data entry specialists handle data entry). The system sounds very very bad - and unstable (who wants HAL running a criminal justice system?).
Releasing the individuals was correct, but correct for the bad reason that every level of the system failed.
That they couldn't manage in three days what police in Britain were once expected to do within 24 hours (now expanded to 48, as computer technology has been added, which seems kinda weird) shows that the wrong people are doing work that is wrong. If a manual system could do the job in one day, a computer-based one should be faster. Yes, there's more complex analysis to be done, but mass spectrometers can be thrown into the back of a van and give you results in minutes. DNA analysis for a tiny handful of markers (typically 12 for criminology, versus the 150 often needed for genealogy) can be done in an hour, tops. In-the-field DNA sequencers designed to look for specific information can also be thrown into said van.
Actually searching and finding things is the slowest part, but you shouldn't be looking for evidence to convict someone, you should be looking for evidence in order to determine who it is who should be convicted. In that case, search and lab time should only ever precede an arrest, which means everything that matters will already be known and in the computer.
In that case, the only new information is that surrounding the arrest and any supplemental information provided by the suspect. Confirming that supplemental data should not be relevant to the case, if the case warranted bringing the person in at that point. Even if it is, you're looking at three or four hours in parallel with the data entry. Raw data is raw data, that can be delivered live from a mobile lab or detective, so it's merely the time to get there, find the supplemental evidence and run the analysis.
With a modern setup, the time between initial arrest and completing the filing should never exceed 6 hours. Three days is stupid.
If six hours isn't enough time to do everything, do more (much, much more) beforehand and parallelize the shit out of everything after. If you don't have the money, find it. If necessary, reduce coverage until you can afford it, then demand taxes pay to cover everyone else correctly. If a couple of extra people get robbed or murdered, you've reduced false convictions by far more than that, so there's a net reduction in deprivation and death. You trade a negligible bit of extra crime in the streets for a massive reduction in crime by cops and/or in prisons. You get a miniscule dash of extra cynicism in the populace, but carve vast chunks of cynicism and contempt within the constabulary.
Seems an acceptable price to pay in order to have acceptable cops and acceptable standards.